Five persons like five types of pens, drive five different cars and wear five brands of watches. Solve the puzzle using the six Clues or less, if you can.
5 Persons With Pens Cars Watches Reasoning Puzzle
Description
Each of 5 persons Anu, Varun, Pintu, Tinku, Vicky likes a different pen among, Pilot, Luxor, Classmate, Link, Uniball, has unique car preferences among, Alto, Indica, Nano, Bolero, Dzire, and likes a different watch among, G-Shock, Fossil, Guess, Seiko, Casio.
Clues:
- Anu has Bolero and Pilot but does not prefer any of the watches Fossil and Guess.
- The one who has Indica likes Guess.
- Varun has preferences for Dzire, Uniball and Casio.
- Pintu has preferences for Luxor and G-Shock.
- Tinku prefers Alto and Link.
- Vicky does not prefer Fossil.
Questions
Question 1. Which watch is Tinku's preference?
- Seiko
- Guess
- Fossil
- Cannot be determined
- None of these
Question 2. Which watch is Anu's preference?
- Fossil
- Seiko
- Guess
- Cannot be determined
- None of these
Question 3. Which pen is Vicky's preference?
- Luxor
- Classmate
- Link
- Cannot be determined
- None of these
Question 4. Which watch is Vicky's preference?
- Seiko
- Guess
- G-Shock
- Cannot be determined
- None of these
Question 5. Whose preference is Indica?
- Vicky
- Pintu
- Tinku
- Cannot be determined
- None of these
Recommended time to solve is 15 minutes.
Hints:
- Identify the objects and their roles to design the most convenient assignment arrangement.
- Select the Clues that provide assignments quickly.
Solution to the 5 Persons With Pens Cars Watches Reasoning Puzzle (Bank PO): Preparation
Creating the solution framework
- Identify the primary object as header: The Person automatically claims the header position of the primary object forming five columns:
- Anu, Varun, Pintu, Tinku and Vicky.
- The secondary objects liked by the Person as rows:
- Pen: Pilot, Luxor, Classmate, Link, Uniball.
- Car: Alto, Indica, Nano, Bolero, Dzire.
- Watch: G-Shock, Fossil, Guess, Seiko, Casio.
Assignment table at the start:
At the start, all 15 values of ownership are unknown.
Solution to the 5 Persons With Pens Cars Watches Reasoning Puzzle (Bank PO): Assignments by Clue Analysis
Stage 1: Direct assignments first
Clue 3. "Varun has preferences for Dzire, Uniball and Casio."
- Results: Varun has Car Dzire, Pen Uniball and Watch Casio.
Clue 4. "Pintu has preferences for Luxor and G-Shock."
- Results: Pintu has Pen Luxor, Watch G-Shock.
Clue 5. "Tinku prefers Alto and Link."
- Results: Tinku has Car Alto, Pen Link.
Stage 1 assignment table:
Stage 2: Assignments by No-Preference Analysis and Defaults
Clue 1. "Anu has Bolero and Pilot but does not prefer any of the watches Fossil and Guess."
- Results: Anu has Car Bolero, Pen Pilot and Watch Seiko.
- Logic: No-preference for Watches Fossil and Guess eliminates the two from three probables—Fossil, Guess and Seiko, leaving Seiko for Anu.
- Additional assignment by default:
- Vicky has Pen Classmate, the only one left out of five: Pilot, Luxor, Classmate, Link and Uniball.
Clue 2. "The one who has Indica likes Guess."
- Car assignment:
- From Clue 2, the Indica driver wears Guess. Only Vicky or Pintu can drive Indica (others have assigned cars). Pintu’s watch is G-Shock (Clue 4), so he cannot wear Guess. Thus, Vicky must drive Indica and wear Guess.
- Watch assignment:
- This leaves Tinku as the only person without a watch. His options: Fossil or Guess. Guess is taken by Vicky, so Tinku wears Fossil.
Together, these assignments are achieved by advanced logic analysis of implications and assignments.
Completed assignments shown.
Answers to the questions
Question 1. Which watch is Tinku's preference?
- Seiko
- Guess
- Fossil
- Cannot be determined
- None of these
Answer 1. Option 3: Fossil.
Question 2. Which watch is Anu's preference?
- Fossil
- Seiko
- Guess
- Cannot be determined
- None of these
Answer 2. Option 2: Seiko.
Question 3. Which pen is Vicky's preference?
- Luxor
- Classmate
- Link
- Cannot be determined
- None of these
Answer 3. Option 2: Classmate.
Question 4. Which watch is Vicky's preference?
- Seiko
- Guess
- G-Shock
- Cannot be determined
- None of these
Answer 4. Option 2: Guess.
Question 5. Whose preference is Indica?
- Vicky
- Pintu
- Tinku
- Cannot be determined
- None of these
Answer 5. Option 1: Vicky.
Comments
Highlights:
- Clue 6 (Vicky ≠ Fossil) is redundant but serves as a cross-verification: It confirms Vicky’s watch must be Guess (per Clue 2), reinforcing the solution’s robustness.
- The redundancy of Clue 6 on the other hand highlights the efficiency of the solution.
- The advanced logic analysis of the implications of Clue 2 rendering Clue 6 redundant is the only challenge in this relatively easy reasoning puzzle.
This puzzle is from a Bank PO recruitment test for selecting bright and sharp minds.
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